What are the numbers divisible by 844?

844, 1688, 2532, 3376, 4220, 5064, 5908, 6752, 7596, 8440, 9284, 10128, 10972, 11816, 12660, 13504, 14348, 15192, 16036, 16880, 17724, 18568, 19412, 20256, 21100, 21944, 22788, 23632, 24476, 25320, 26164, 27008, 27852, 28696, 29540, 30384, 31228, 32072, 32916, 33760, 34604, 35448, 36292, 37136, 37980, 38824, 39668, 40512, 41356, 42200, 43044, 43888, 44732, 45576, 46420, 47264, 48108, 48952, 49796, 50640, 51484, 52328, 53172, 54016, 54860, 55704, 56548, 57392, 58236, 59080, 59924, 60768, 61612, 62456, 63300, 64144, 64988, 65832, 66676, 67520, 68364, 69208, 70052, 70896, 71740, 72584, 73428, 74272, 75116, 75960, 76804, 77648, 78492, 79336, 80180, 81024, 81868, 82712, 83556, 84400, 85244, 86088, 86932, 87776, 88620, 89464, 90308, 91152, 91996, 92840, 93684, 94528, 95372, 96216, 97060, 97904, 98748, 99592

There is a total of 118 numbers (up to 100000) that are divisible by 844.
The sum of these numbers is 5925724.
The arithmetic mean of these numbers is 50218.

How to find the numbers divisible by 844?

Finding all the numbers that can be divided by 844 is essentially the same as searching for the multiples of 844: if a number N is a multiple of 844, then 844 is a divisor of N.

Indeed, if we assume that N is a multiple of 844, this means there exists an integer k such that:

$k \times 844 = N$

Conversely, the result of N divided by 844 is this same integer k (without any remainder):

$k = \frac{N}{844}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 844 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 844 less than 100000):

1 × 844 = 844
2 × 844 = 1688
3 × 844 = 2532
...
117 × 844 = 98748
118 × 844 = 99592